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DESIGN AND ANALYSIS OF ANALOG FILTERS A Signal ...

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A <strong>Signal</strong> Processing Perspective 389<br />

11.41<br />

11.42<br />

11.43<br />

11.44<br />

Implement a fourth-order Butterworth highpass filter with<br />

Show the details of your calculations. Draw the final op amp circuit schematic<br />

diagram indicating the values of all circuit elements. Using SPICE, plot the<br />

magnitude frequency response of your circuit implementation. Also plot the<br />

magnitude frequency response of each stage in your implementation.<br />

Implement, using op amp circuits, a third-order elliptic highpass filter<br />

with , and . Draw the final circuit<br />

schematic diagram indicating all element values. Using SPICE, plot the<br />

magnitude frequency response of your resultant circuit.<br />

Go through the details of implementing, using op amp circuits, a fourth-order<br />

Chebyshev Type II bandpass filter with the following specifications:<br />

, and<br />

. Draw the final circuit schematic diagram indicating all element<br />

values. Using SPICE, plot the magnitude frequency response of your<br />

resultant circuit. That is, carry out the details of Example 11.3.<br />

Perform SPICE analysis on the circuit shown in Figure 11.16, asinProblem<br />

11.43, confirming the results shown in Figure 11.17. In addition, plot the<br />

magnitude frequency response of each of the two stages. For each stage,<br />

record the magnitude of the peak gain and the frequency at which it occurs.<br />

Perform an overlay plot with the overall magnitude gain for the circuit, and the<br />

magnitude gain of each stage, allowing ready comparison of the three<br />

frequency response plots.<br />

11.45 Suppose it is desired to design and implement a Butterworth bandpass filter<br />

with the following specifications:<br />

(a)<br />

(b)<br />

(c)<br />

(d)<br />

and<br />

Determine the minimum required order for the bandpass filter.<br />

Using the minimum required order determined in part (a), determine<br />

the actual value for that will be obtained, holding all other<br />

specifications constant.<br />

Determine the transfer function, with all values real and specified<br />

except for an arbitrary gain constant, for the bandpass filter.<br />

Draw the final active filter implementation schematic diagram, with the<br />

order of cascaded stages with increasing Q, with all element values<br />

indicated.<br />

Section 11.4 Chapter 11 Problems

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